Machine learningDimensionality reduction

Slučajna Projekcija

Random projection smanjuje dimenzionalnost množenjem podataka sa slučajnom matricom, oslanjajući se na lemu Johnson-Lindenstrauss (1984), koja garantuje da projektovanje na dovoljno slučajnih pravaca približno očuvava sve parne rastojanja. Za razliku od PCA, ona uopšte ne analizira podatke — projekcija je slučajna i ne zavisi od podataka — što je čini izuzetno jeftinom i dobro prilagođenom za podatke veoma visoke dimenzionalnosti i za postavke striminga ili osetljive na privatnost.

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Izvori

  1. Johnson, W. B., & Lindenstrauss, J. (1984). Extensions of Lipschitz mappings into a Hilbert space. Contemporary Mathematics, 26, 189–206. DOI: 10.1090/conm/026/737400
  2. Achlioptas, D. (2003). Database-friendly random projections: Johnson-Lindenstrauss with binary coins. Journal of Computer and System Sciences, 66(4), 671–687. DOI: 10.1016/S0022-0000(03)00025-4

Kako citirati ovu stranicu

ScholarGate. (2026, June 2). Random Projection (Johnson-Lindenstrauss Dimensionality Reduction). ScholarGate. https://scholargate.app/sr/machine-learning/random-projection

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ScholarGateRandom Projection (Random Projection (Johnson-Lindenstrauss Dimensionality Reduction)). Preuzeto 2026-06-15 sa https://scholargate.app/sr/machine-learning/random-projection · Skup podataka: https://doi.org/10.5281/zenodo.20539026